Inequalities Operations on integers, Order of real number In this lesson, you are expected to: 1. Differentiate between equations and inequalities, 2. Find the solution of an inequality involving one variable.
Differences between Linear Equation and Linear Inequalities:
Symbols Number of Solution Graph of Solution Example:
= Exactly one / one / infinite A point x + 7 = 25
≠ , , ≤, ≥ More than one Set of points 3x + 4 > 16
Inequality – A mathematical statement where one algebraic expression is not equal to another algebraic expression. ≠ < > ≤ ≥
Not equal Less than Greater than Less than or equal to Greater than or equal to
x+5≤6 7 (x + 2) < - 5 5 > 2x + 4 4 ≠ 5x + 2 x+2≥7
x > -4
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
-10
-5
0
5
10
x≠8
x≥9
x≤
2 3
-3 < x < 3
0≤x 7 2. x < 14 3. -4 ≥ 5
4. 10 ≤ 25 5. x ≠ -12
let a, b, and c are real numbers. If 2. x - 8 < 11 Solution: x – 8 < - 11 x – 8 < - 11 x < -3
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